Questions: The mass of a ball moving at 3 m / s with a momentum of 48 kg m / s is 12 kg, 16 kg, 4 kg, 144 kg, none of these.

The mass of a ball moving at 3 m / s with a momentum of 48 kg m / s is 12 kg, 16 kg, 4 kg, 144 kg, none of these.
Transcript text: The mass of a ball moving at $3 \mathrm{~m} / \mathrm{s}$ with a momentum of $48 \mathrm{~kg} \mathrm{~m} / \mathrm{s}$ is 12 kg . 16 kg . 4 kg . 144 kg . none of these
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Solution

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Solution Steps

Step 1: Understand the Relationship Between Momentum, Mass, and Velocity

The momentum \( p \) of an object is given by the formula: \[ p = m \cdot v \] where \( m \) is the mass and \( v \) is the velocity of the object.

Step 2: Identify Given Values

From the problem, we know:

  • Momentum \( p = 48 \, \text{kg} \, \text{m/s} \)
  • Velocity \( v = 3 \, \text{m/s} \)
Step 3: Solve for Mass

Rearrange the formula to solve for mass \( m \): \[ m = \frac{p}{v} \]

Substitute the given values into the equation: \[ m = \frac{48 \, \text{kg} \, \text{m/s}}{3 \, \text{m/s}} \]

Step 4: Calculate the Mass

Perform the division: \[ m = 16 \, \text{kg} \]

Final Answer

\(\boxed{16 \, \text{kg}}\)

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